On analytical applications of stable homotopy (the Arnold conjecture, critical points)

Abstract

We prove the Arnold conjecture for closed symplectic manifolds with ${\pi }_2(M)=0$ and $\cat M=\dim M$. Furthermore, we prove an analog of the Lusternik-Schnirelmann theorem for functions with ``generalized hyperbolicity'' property.

arXiv commentAMSTEX, 12 pages, submitted to Math. Zeitschrift, improvement (correction) of the line of the proof of the Arnold conjecture